Curved WDVV equation and supersymmetric mechanics

N. Kozyrev, S. Krivonos, O. Lechtenfeld, A. Nersessian, A. Sutulin

    Результат исследований: Материалы для журнала

    Аннотация

    We extend the relation between the Witten-Dijkgraaf-Verlinde-Verlinde equation and N = 4 supersymmetric mechanics to arbitrary curved spaces. The resulting curved WDVV equation is written in terms of the third rank Codazzi tensor. We provide the solutions of the curved WDVV equation for the so(n) symmetric conformally flat metrics. We also explicitly demonstrate how each solution of the flat WDVV equation can be lifted up to the curved WDVV solution on the conformally flat spaces.

    Язык оригиналаАнглийский
    Номер статьи012026
    ЖурналJournal of Physics: Conference Series
    Том965
    Номер выпуска1
    DOI
    СостояниеОпубликовано - 15 фев 2018
    Событие25th International Conference on Integrable Systems and Quantum Symmetries, ISQS 2017 - Prague, Чешская Республика
    Продолжительность: 6 июн 201710 июн 2017

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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    Kozyrev, N., Krivonos, S., Lechtenfeld, O., Nersessian, A., & Sutulin, A. (2018). Curved WDVV equation and supersymmetric mechanics. Journal of Physics: Conference Series, 965(1), [012026]. https://doi.org/10.1088/1742-6596/965/1/012026